State estimation for nonlinear system diagnosis using multiple models. Application to wastewater treatment plants

Anca Maria Nagy Kiss (1) , Benoît Marx (1) , Gilles Mourot (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This article deals with the observer synthesis for uncertain nonlinear systems affected by unknown inputs. In order to design such an observer, the nonlinear system is represented under the multiple model (MM) formulation with unmeasurable premise variables. A proportional integral observer (PIO) is considered and used for fault diagnosis using banks of observer to generate structured residuals. The Lyapunov method, expressed through linear matrix inequality (LMI) formulation, is used to describe the stability analysis and to the observer synthesis. An application to a model of Wastewater Treatment Plant (WWTP) is considered.

Domaines: Automatique / Robotique

Anca Maria Nagy Kiss, Benoît Marx, Gilles Mourot, José Ragot. State estimation for nonlinear system diagnosis using multiple models. Application to wastewater treatment plants. Annual Conference of the European Safety and Reliability Association, ESREL 2011, Sep 2011, Troyes, France. pp.CDROM. ⟨hal-00630340⟩